# First Illustration of Why Mathematical Entities are Useful: Arithmetic

# First Illustration of Why Mathematical Entities are Useful: Arithmetic

Provides an elementary illustration of the kind of application of mathematics that can be accounted for by the conservativeness of mathematics alone, without invoking the assumption that the mathematics being applied is true. The illustration involves the application of the arithmetic of natural numbers.

*Keywords:*
application of mathematics, arithmetic, conservativeness, mathematical truth

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